On convergence of Hermite-Fejer interpolation polynomials

Hermite-Fejer interpolation operators based on the zeros of Jacobi polynomials, in general, are not uniformly convergent for all #integral# element of C[-1,1]. In this work we will investigate weighted approximation by such operators with Jacobi weight functions. A necessary and sufficient condition for the weight function will be given such that these interpolation polynomials converge in weighted maximum norm for all #integral# element of C[-1,1].Available from TIB Hannover: RO 1945(217) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman